Quantitative Aptitude - Arithmetic Ability Questions

Instead of multiplying by 25, a student multiplies that number by 52 and gets 324 more than correct answer. Then that number is

If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

Simplify (b5x2a3z4)*(b3x2a4z5) / (a2b3z2)

What least number must be subtracted from 3401, so that the sum is completely divisible by 11?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 2:5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?

What is the third proportional to 10 and 25?

Which of the following ratio is greatest?